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11002011112200 = 2335267812704127
BaseRepresentation
bin1010000000011001101011…
…1101101101001100001000
31102221210010001220202121110
42200012122331231030020
52420224104321042300
635222130520410320
72213604043306233
oct240063275551410
942853101822543
1011002011112200
113561a214a6309
12129831b3169a0
1361a63cc8c284
142a07006c441a
151412c3014550
hexa019af6d308

11002011112200 has 96 divisors (see below), whose sum is σ = 34111276738560. Its totient is φ = 2933435884800.

The previous prime is 11002011112181. The next prime is 11002011112207. The reversal of 11002011112200 is 221111020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11002011112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716537 + ... + 5420663.

It is an arithmetic number, because the mean of its divisors is an integer number (355325799360).

Almost surely, 211002011112200 is an apocalyptic number.

11002011112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002011112200 is an abundant number, since it is smaller than the sum of its proper divisors (23109265626360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002011112200 is a wasteful number, since it uses less digits than its factorization.

11002011112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710927 (or 2710918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11002011112200 its reverse (221111020011), we get a palindrome (11223122132211).

The spelling of 11002011112200 in words is "eleven trillion, two billion, eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6781 13562 20343 27124 33905 40686 54248 67810 81372 101715 135620 162744 169525 203430 271240 339050 406860 508575 678100 813720 1017150 1356200 2034300 2704127 4068600 5408254 8112381 10816508 13520635 16224762 21633016 27041270 32449524 40561905 54082540 64899048 67603175 81123810 108165080 135206350 162247620 202809525 270412700 324495240 405619050 540825400 811238100 1622476200 18336685187 36673370374 55010055561 73346740748 91683425935 110020111122 146693481496 183366851870 220040222244 275050277805 366733703740 440080444488 458417129675 550100555610 733467407480 916834259350 1100201111220 1375251389025 1833668518700 2200402222440 2750502778050 3667337037400 5501005556100 11002011112200